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113257040017 = 111929109251683
BaseRepresentation
bin110100101111010100…
…1010100100010010001
3101211100002002202022211
41221132221110202101
53323422300240032
6124010215232121
711116420645642
oct1513651244221
9354302082284
10113257040017
1144039712520
1219b49678641
13a8ac21a314
1456a59b96c9
152e2d011747
hex1a5ea54891

113257040017 has 64 divisors (see below), whose sum is σ = 136515456000. Its totient is φ = 92806560000.

The previous prime is 113257040009. The next prime is 113257040077. The reversal of 113257040017 is 710040752311.

It is not a de Polignac number, because 113257040017 - 23 = 113257040009 is a prime.

It is a super-2 number, since 2×1132570400172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113257040077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165822558 + ... + 165823240.

It is an arithmetic number, because the mean of its divisors is an integer number (2133054000).

Almost surely, 2113257040017 is an apocalyptic number.

It is an amenable number.

113257040017 is a deficient number, since it is larger than the sum of its proper divisors (23258415983).

113257040017 is a wasteful number, since it uses less digits than its factorization.

113257040017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102.

The product of its (nonzero) digits is 5880, while the sum is 31.

Adding to 113257040017 its reverse (710040752311), we get a palindrome (823297792328).

The spelling of 113257040017 in words is "one hundred thirteen billion, two hundred fifty-seven million, forty thousand, seventeen".

Divisors: 1 11 19 29 109 209 251 319 551 683 1199 2071 2761 3161 4769 6061 7279 7513 12977 19807 22781 27359 34771 52459 60059 74447 80069 138301 142747 171433 217877 300949 376333 519821 660649 793411 818917 1414493 1521311 1885763 2158963 3257227 4139663 4971557 5718031 8727521 15074809 15559423 18686197 23748593 35829497 41020297 54687127 94459583 165822899 205548167 355037743 451223267 541899713 1039055413 3905415173 5960896843 10296094547 113257040017